Home / 1,284.53-1,926.14-553.77

Finding the Fourth Proportional to 1,284.53, 1,926.14 and 553.77

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Solution

The fourth proportional to 1,284.53, 1,926.14 and 553.77 is: 830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,926.14 = 553.77 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,926.14 = 553.77/x
  3. Step 3: Cross multiply
    1,284.53x = 1,926.14 × 553.77
  4. Step 4: Simplify right side
    1,284.53x = 1,066,635.78
  5. Step 5: Solve for x
    x = 1,066,635.78/1,284.53
  6. Step 6: Final answer
    x = 830.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.